[tcthomp66]

I live in an apartment, so I don't have the option of running an extension cord. I think I'll propose plan C:

Modify your battery wires with quick disconnects. If it's going to be cold, then disconnect the battery and take it in with you to home/work. (If it's warm enough for you, it's probably warm enough for the battery.)

Also, if you're going to use electric heat, use some sort of surge protection. In the event the heat lamp or trouble light is shorted out by rain/snow/physical damage, the surge protector will probably save your property.